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Computational and Group-Theoretical Methods in Nuclear Physics

NEW EXACTLY SOLVABLE MODELS OF INTERACTING BOSONS AND FERMIONS

J. Dukelsky, Carlos Esebbag, Stuart Pittel

Published Feb 1, 2004• 0 citations
Publisher
DOI
10.1142/9789812703026_0010

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We discuss interacting fermion models in two dimensions, and, in particular, such that can be solved exactly by bosonization. One solvable model of this kind was proposed by Mattis as an effective description of fermions on a square lattice. We review recent work on a specific relation between a variant of Mattis' model and such a lattice fermion system, as well as the exact solution of this model. The background for this work includes well-established results for one-dimensional systems and the high-Tc problem. We also mention exactly solvable extensions of Mattis' model.